Hexadecimal to Binary
Hexadecimal to Binary Converter
Hexadecimal to Binary Overview
A Hexadecimal to Binary Converter is a tool designed to convert numbers from the hexadecimal system (base-16) into the binary system (base-2). Hexadecimal values are commonly used in computing, digital electronics, and programming for compact representation of binary data.
While the binary system uses only 0 and 1, the hexadecimal system uses sixteen characters: 0β9 and AβF, where A = 10, B = 11, ..., F = 15.
Conversion Principle:
Each hex digit corresponds to a 4-bit binary number.
To convert hexadecimal to binary, replace every hex digit with its 4-bit binary equivalent.
Example:
Hexadecimal: 2F
β 2 = 0010, F = 1111
β Binary = 00101111
Common Uses for Hexadecimal to Binary Conversion:
- Programming: Memory addresses and machine code are often shown in hexadecimal but processed in binary.
- Networking: MAC addresses, IP packet headers, and hash values use hexadecimal.
- Digital Electronics: Register values and hardware debugging often involve hex-to-binary decoding.
- Color Codes: Web color codes like #FF5733 are hexadecimal, converting to binary for pixel manipulation.
- Cryptography: Binary equivalents of hex keys and encrypted values are vital in encryption processes.
Key Features of Hexadecimal to Binary Converter:
- Precise Mapping: Each hex digit is accurately converted to 4 binary bits.
- Real-Time Conversion: Instant binary output with every character entered.
- Handles Both Integers and Fractions: Convert values like 1A.F accurately.
- Supports Long Values: No size limit for input values.
- User-Friendly Interface: Designed for students, developers, and hardware professionals.
- Copy-Friendly: Binary output can be copied directly for development use.
The Hexadecimal to Binary Converter makes it simple to convert compact hex data into expanded binary format for any technical application.
How It Works
Enter a Hexadecimal Number:
For example, 4C, 1A3, or F.8.
Conversion Happens Instantly:
Each digit is converted to its 4-bit binary form.
Read the Full Binary Result:
See the result update in real-time.
Apply in Your Work:
Use for embedded development, assembly code, or decoding instructions.
Examples
Formula:
Each Hex Digit β 4-Bit Binary Equivalent
Example 1: Hex: A2
β A = 1010, 2 = 0010 β Binary = 10100010
Example 2: Hex: 1F4
β 1 = 0001, F = 1111, 4 = 0100 β Binary = 000111110100
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Example 3: Hex: 9.B
β 9 = 1001, . = ., B = 1011 β Binary = 1001.1011
Reference Tables
Hexadecimal
Binary
0
0000
1
0001
2
0010
3
0011
4
0100
5
0101
6
0110
7
0111
8
1000
9
1001
A
1010
B
1011
C
1100
D
1101
E
1110
F
1111
Steps to Convert Hexadecimal to Binary:
- Write down the hexadecimal number.
- Replace each hex digit with its 4-bit binary equivalent using the reference table.
- Combine all the binary groups to form the final binary number.
Formula:
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Binary = Join(4-bit binary values for each hex digit)
Additional Information
A Unique Explanation for the Hexadecimal to Binary Converter:
Hexadecimal (base-16) is favored in computing because it offers a more human-readable alternative to binary (base-2) while retaining accuracy. Since one hex digit equals four binary digits, conversion is fast and lossless.
Example:
Hex: 1E
β 1 = 0001, E = 1110 β Binary = 00011110
This conversion is widely used in low-level computing, system design, data encoding, and educational applications
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Hexadecimal to Binary Conversion Table
Hex
Binary
A
1010
B
1011
C
1100
D
1101
E
1110
F
1111
1F
00011111
4B
01001011
2A
00101010
7C
01111100
F0
11110000
3D
00111101
FAQs
1. What is hexadecimal to binary conversion?
It's the process of converting a base-16 number into a base-2 number by mapping each hex digit to a 4-bit binary string.
2. Why is hex used instead of binary?
Hex is more compact and readable. One hex digit represents four binary digits, simplifying long binary strings.
3. How do I convert a hexadecimal fraction?
Convert the integer and fractional parts separately using the 4-bit mapping.
4. Is this conversion used in real-world applications?
Yes, itβs used in color coding, file formats, memory dumps, encryption, and more.
5. Can this tool convert large hex values?
Yes, the converter supports long hexadecimal numbers without performance issues.